Answer:
32 degrees
Step-by-step explanation:
The interior angles of a triangle always add up to 180.
Subtract the sum of 106 and 42 from 180.
180-(106+42)
180-(148)
32
x is equal to 32 degrees.
Subtract: (7-6i)(4+2i)
Answer:
(3-8i)
Step-by-step explanation:
Group the real part and the imaginary part of the complex number
Simplify x2 + 5x + 4/
X + 4
Answer:
[tex]\frac{x3 + 5x2 + 4x + 4}{x}[/tex]
Step-by-step explanation:
x2+5x+ 4/x+4
Simplify
x2 + 5x + 4/X +4
Answer:
[tex] \frac{ {x}^{2} + {5x}^{2} + 4x + 4}{x} [/tex]
I really need help plzz. This is due it 20 mins and I would REALLY appreciate someone if they help. I will mark u as brainiest. I've been needing help since the morning :(
Answer:
Page 1:
I chose Cartoon 3
=> It can be difficult to save money because we don't actually know where all of our money goes. In this cartoon, the lady has bought something of which she had no idea but she bought that just because it was on sale. It is of no use to her and she even doesn't know how to use it. She didn't same money (as it was on sale), she rather wasted the money on buying a think she doesn't even know how to use.
I found this cartoon persuasive as the cartoonist tried its best to persuade the watcher. The cartoon would look more persuasive if the cartoonist added more colors to it. So, it would look more attractive.
Page 2:
I feel really depressed about the situation but thanks to God I've that $1000. I think I would e able to spend 30 days with those $1000 by restricting my expenditures. Then I'll have a happy 30 days. Also, I can find a new job during these 30 days too.
Which function does this graph represent ?
Answer:
choice A: f(x)=3(x+1)^2+2
Step-by-step explanation:
All the choices are written in vertex form.
The vertex of the graph shown is (-1, 2).
all answer choices show that the a-value in vertex form is a positive 3
the vertex form is f(x)=a(x-h)^2+k, where h is the x-value of the vertex and k is the y-value of the vertex of the parabola
so, the equation with f(x)=3(x-(-1))^2+2, because -1 is the x-value and 2 is the y-value of the vertex
the equation fully simplified is f(x)=3(x+1)^2+2
Given: l | | m m 1 = 140° m 3 = 50° m 6 =
Answer:
m∠6 = 90°
Step-by-step explanation:
∠1 and ∠2 are a linear pair. This means they are supplementary, or their measures sum to 180°. To find m∠2, we subtract m∠1 from 180:
180-140 = 40°
The measure of ∠2 is 40°.
The sum of the measures of the angles in a triangle is 180°. We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:
180-(40+50) = 180-90 = 90°
A rectangular sheet of paper was folded in half 6 times. In the middle of this folded sheet, two holes were drilled. Then, the sheet of paper was unfolded back to its original shape. How many holes are there?
Answer:
There will be 128 holes
Step-by-step explanation:
Simply think of each fold as doubling the number of holes. So since we have 6 folds, that will be 2^6 and then we have 2 holes in those folds, which makes 2*2^6 == 2^7 == 128 holes. Cheers.
Folding of the paper is an illustration of a geometric sequence
The number of holes in the rectangular paper is 128
The given parameters are:
[tex]\mathbf{h = 2}[/tex] --- holes
[tex]\mathbf{t = 6}[/tex] --- number of times
The sheet was folded in halves i.e. in 2's.
So, the amount of each time is:
[tex]\mathbf{f(t) = 2 \times h^t}[/tex]
Substitute values for h and t
[tex]\mathbf{f(6) = 2 \times 2^6}[/tex]
Evaluate the exponent
[tex]\mathbf{f(6) = 2 \times 64}[/tex]
Multiply
[tex]\mathbf{f(6) = 128}[/tex]
Hence, the number of holes in the rectangular paper is 128
Read more geometric sequence at:
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How To Solve these?
Answer:
a. 15/23
b. 13/27
c. 400g
Step-by-step explanation:
a. When the denominators are the same, you can just sum the numerators.
Which becomes, 13+2=15--> 15/23
b. Same, when the denominator is the same, you can just minus the numerators. Which becomes, 25-12=13--> 13/27
c. 1kg=1000g. 1000/5=200✖️2=400
Help please! Thank you
hurry please!! The equation cos35°=a/25. What is the length of the line BC? Round to the nearest 10th
Answer:
25 is the same lenghth rounded
Step-by-step explanation:
aproximitly it rounded to the 10
Write the equations after translating the graph of y = | 1/2 x−2|+3 One unit to the left. FIRST ANWSER GETS BRAINILY!!!!
Answer:
Translating it to the left by 1 unit means that we need to add 1 from the quantity in the absolute value symbols. However, it is 1/2x and not x so we only add 1/2 which gives us y = |1/2x - 1.5| + 3.
Is anyone good at probabiltiy??
Pls helppppp
In a school, 60% of the students take a foreign language class and 20% of
students take both foreign language and technology. What is the probability that a student takes technology given that the students takes foreign language?
Answer:
1/3
Step-by-step explanation:
Only 20% / 60% = 1/3 of the foreign language students take technology as well, therefore the probability would be 1/3.
A student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 29. Which of the following is a correct interpretation of the interval 14.3 < mu < 30.4? Check all that are correct.
A. With 99% confidence, the mean width of all widgets is between 14.3 and 30.4.
B. The mean width of all widgets is between 14.3 and 30.4,99% of the time. We know this is true because the mean of our sample is between 14.3 and 30.4.
C. There is a 99% chance that the mean of the population is between 14.3 and 30.4.
D. With 99% confidence, the mean width of a randomly selected widget will be between 14.3 and 30.4.
E. There is a 99% chance that the mean of a sample of 29 widgets will be between 14.3 and 30.4.
Answer:
The correct options are (A), (C) and (D).
Step-by-step explanation:
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
It is provided that the 99% confidence interval for the mean widget width is:
CI = 14.3 < μ < 30.4
The 99% confidence interval for population mean widget width (14.3, 30.4), implies that there is a 0.99 probability that the true value of the mean widget width is included in the above interval.
Or, the 99% confidence interval for the mean widget width implies that there is 99% confidence or certainty that the true mean widget width value is contained in the interval (14.3, 30.4).
Thus, the correct options are (A), (C) and (D).
Using confidence interval concepts, it is found that the correct options are:
A. With 99% confidence, the mean width of all widgets is between 14.3 and 30.4.
C. There is a 99% chance that the mean of the population is between 14.3 and 30.4.
The interpretation of a x% confidence interval is that we are x% sure that the population mean is in the interval.
In this problem, 99% confidence interval for widget width is between 14.3 and 30.4, hence we are 99% sure that the population mean, that is, the mean width of all widgets is between 14.3 and 30.4, hence options A and C are correct.
A similar problem is given at https://brainly.com/question/15043877
The stock of Company A lost 2.75% today to $77.80. What was the opening price of the stock in the beginning of the day?
Answer:
$80
Step-by-step explanation: $80.00*.0275= 2.20 80.-2.20=$77.80
The opening price of the stock in the beginning is A = $ 80
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the opening price of the stock in the beginning be A
Now , the percentage of decrease in the stock price = 2.75 %
And , the price after decrease = $ 77.80
On simplifying , we get
The opening price of the stock in the beginning - ( percentage of decrease in the stock price ) x opening price of the stock in the beginning = $ 77.80
A - ( 2.75 / 100 )A = 77.80
( 97.25/100 )A = 77.80
Divide by 97.25 on both sides , we get
A / 100 = 0.8
Multiply by 100 on both sides , we get
A = $ 80
Hence , the opening price of the stock is A = $ 80
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10 pts
A 25-foot ladder is placed against a building and the top of the ladder makes a 32° angle with the
building. How many feet away from the building is the base of the ladder? Write only the number
rounded to the nearest tenth of a foot.
Answer:
13.2 ft
Step-by-step explanation:
We are given a ladder, a building, and an angle. Let's construct a right triangle (see attachment).
In this right triangle, we know that the hypotenuse (the ladder) is 25 feet, while the angle made between the top of the ladder and the building is 32°. Since we want to find the number of feet between the building and the base of the ladder, we will use the trigonometric function sine, which is opposite divided by hypotenuse.
Here, the opposite side is the value we want to find, while the hypotenuse is the length of the ladder.
We have:
sin(32°) = opposite / hypotenuse = x / 25
x = 25 * sin(32°) ≈ 13.2 ft
The answer is thus 13.2 ft.
~ an aesthetics lover
Instructions: Find the measure of the indicated angle to the
nearest degree
Answer:
The answer is
31°Step-by-step explanation:
Let the unknown angle be x
To find x we use cosine
cos∅ = adjacent / hypotenuse
From the question
The hypotenuse is 56
The adjacent is 48
So we have
cos x = 48/56
cos x = 6/7
x = cos-¹ 6/7
x = 31.003
x = 31° to the nearest degree
Hope this helps you
Find the value of y.
80
93
112
y
Z
X
y=[ ? 1°
Answer:
y = 86°
Step-by-step explanation:
The measure of an arc intercepted by an inscribed angle is double the measure of the inscribed angle.
The arc intercepted by the 93° inscribed angle is ...
112° +x = 2(93°)
x = 74° . . . . . . . subtract 112°, simplify
The arc intercepted by the 80° inscribed angle is ...
x + y = 2(80°)
74° +y = 160°
y = 86°
PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes through the points (2, 7) and (4, −1)? y=−4x+15 y=−4x+3 y=−4x+30 y=−4x+12
Answer:
A.
Step-by-step explanation:
We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope m. Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4[/tex]
Thus, the slope is -4.
Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Where (x1, y1) is a coordinate pair and m is the slope.
Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:
[tex]y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15[/tex]
This is also slope-intercept form. The answer is A.
Answer:
A. y=-4x+15
Step-by-step explanation:
First, you want to find the slope by using the formula
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The first step is to put in the right numbers,
[tex]\frac{-1-7}{4-2}[/tex]
Then, subtract the numbers accordingly
[tex]\frac{-8}{2}[/tex]
Then simplify
[tex]\frac{-4}{1}[/tex] or -4
The next step is finding the y-intercept, you can do this by drawing it out or using the formula (i will be using the point (2,7) where y is 7 and x is 2)
y=-4x+b Plug in the values
7=-4(2)+b Multiply
7=-8+b add 8 to both sides to isolate the variable
15=b
so y=-4x+15
Hope this helps, if you have any questions, feel free to ask.
Have a good day! :)
Choose the kind(s) of symmetry for the letter(D). Select all that apply Point Line Plane None
Answer:
The only way is across.
What is the standard form of the equation for this circle?
A (x-1)2-(y + 10)² + 4 = 0
B. (x - 1)2 - +10)2 = 2
c. (x + 1)2 + (y- 1072 = 4
D. (x-1)2-(y + 10)² =
Answer:
(x + 1)² + (y - 10)² = 4
Step-by-step explanation:
Standard form of the equation of a circle is given by,
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and 'r' is the radius.
In the given question coordinates of the center A are (-1, 10) and radius of the circle is 2 units.
By substituting these values in the formula,
(x + 1)² + (y - 10)² = 2²
(x + 1)² + (y - 10)² = 4
Therefore, standard form of the equation of the given circle is (x + 1)² + (y - 10)² = 4
help me quickly, please! For a function p(x), as |x|= infinity, then p(x)=2. which of the following graphs could be p(x)
Answer:
A
Step-by-step explanation:
What as |x|= infinity, then p(x)=2 mean is that,
as x get bigger on either side of +ve or -ve, you get really close to 2.
Graph A could be p(x).
The answer is option A.
What is a simple definition of function?
A function is defined as a relation between a fixed of inputs having one output every. In easy words, a function is dating between inputs in which every entry is associated with precisely one output. Each function has a site and codomain or range.
What is a function example?A function can then be defined as a set of ordered pairs: Example: {(2,4), (3,5), (7,3)} is a function that says. "2 is related to 4", "3 is related to 5" and "7 is related 3". Also, notice that: the domain is {2,3,7} (the input values).
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What's the correct answer to this..? Please help
Answer:
D. {x:-8≤x<-5}
Step-by-step explanation:
x≥-8
x={-8,-7,-6,-5,-4,-3,-2,-1,0...}
x<-5
x={-6,-7,-8,-9,-0...}
Numbers equal to or less than -8 are also less than -5
Hope it helps ;) ❤❤❤
Answer:
The answer is "D"
HELP ASAP MONEY & WAGES!
Answer: $26.70 per hour
Step-by-step explanation:
Regular hours consists of 8 hrs
Overtime hours is 12 - 8 = 4 hours
Regular pay at "x" per hour = 5(8)(x) = 40x
Overtime pay at "2x" per hour = 5(4)(2x) = 40x
Total pay = 80x
Total Pay = $2136 = 80x
[tex]\dfrac{\$2136}{80}=x[/tex]
$26.70 = x
Given: AB = BC, AC is ∠ bisector of ∠BAD Prove: BC ∥ AD
Answer:
<BAC ≅ BCA by rule Base angle theorem
Step-by-step explanation:
What we know:
BAC = DAC
BC = BA
ΔBCA is an isosceles so ∠BCA = ∠DCA and ∠BAC
and we found that out by base angle theorem since
Base angle Theorem = Two base angles of a icosceles triangle are equal.
And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD
The proof that BC ∥ AD from the given statements is that;
BC ∥ AD because of the definition of alternate angles
We are given;
AB = BC
AC is ∠ bisector of ∠BAD
Since AC is the angle bisector of ∠BAD, it means that;
∠BAC = ∠DAC (definition of a bisected angle)
Now, since AB = BC, it means that ΔBCA is an isosceles triangle.
Thus; ∠BCA = ∠BAC (base angle theorem)
Now, since ∠BCA = ∠BAC, and ∠BAC = ∠DAC, we can say that;
∠BCA = ∠DAC
This means ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.
Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.
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Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 7x + 8
y = x + 20
O A. (3, 29)
B. (7,8)
O C. (2,8)
O D. (2,22)
So option (D) is Correct.
which of the following is the equation of a line perpendicular to the line y=-1/3x+1 passing through the point 2,7
Answer:
y=3x+1
Step-by-step explanation:
perpendicular lines=their gradient multiply to produce -1 thus:
(line 1) y= -⅓x+1. gradient is. -⅓x
(line 2) gradient = 3
y=mx+c
3=y-7
x-2
multiply both sides by x-2 to remove the denominator.
3(x-2)=y-7
3x-6=y-7
collect the like terms to remain with y in one is side
3x-6+7=y
3x+1=y
y=3x+1
Solve, graph and give the solution in interval notation 3x+6<12
Answer:
Step-by-step explanation:
3x + 6 < 12
-6 -6
3x < 6
x < 2
x < 2
<------------o
2
There are 48 crackers on a plate which are going to be shared by 5 friends. Which of the following best describes how many crackers each person will get?
2 people get 10 crackers each 3 people get 9 crackers each
2 people get 13 crackers each 3 people get 12 crackers each
3 people get 10 crackers each 2 people get 9 crackers each
4 people get 8 crackers each 1 person gets 15 crackers each
will mark brainliest!!!
Answer:
3 people get 10 crackers each 2 people get 9 crackers each
Step-by-step explanation:
SO WE CHECK THE OTHER ANSWERS
1. 2 people get 10 crackers each 3 people get 9 crackers each
(2*10)+(3*9)=?
20+27=47
WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48
2. 2 people get 13 crackers each 3 people get 12 crackers each
(2*13)+(3*12)=?
26+36=62
WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48
3. 3 people get 10 crackers each 2 people get 9 crackers each
(3*10)+(2*9)=?
30+18=48
WHICH IS CORRECT CAUSE THE SUM SHOULD BE 48
4. 4 people get 8 crackers each 1 person gets 15 crackers each
(4*8)+(1*15)=?
32+15=47
WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48
SO THE ANSWER IS 3 people get 10 crackers each 2 people get 9 crackers each
I HOPE I HELPED
PLS MARK BRAINLIEST!!!!!! (DESPERATELY TRYING TO LEVEL UP)
IT TOOK ME 10 MINS TO TYPE THIS
-ZYLYNN JADE
Please can someone help me with this
Answer:
[tex]\boxed{V = 434.9 \ cm^3 }[/tex]
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 4.7 cm
V = [tex]\frac{4}{3} (3.14)(4.7)^3[/tex]
V = [tex]\frac{4}{3} (3.14)(103.8)[/tex]
V = [tex]\frac{1304.7}{3}[/tex]
V = 434.9 cm³ (Up to 1 dp)
Answer:
Step-by-step explanation:
4/3×22/7×4.7^3=435.1cm
What is the area of the polygon below?
Answer:
[tex]24 units^2[/tex]
Step-by-step explanation:
Well we can divide the given polygon into smaller triangles.
The triangle on the upper right corner has a base of 4 units and a height of 3 units.
So we use the following formula,
[tex]\frac{b*h}{2}[/tex]
4*3 = 12
12 / 2 = 6 units^2
Now we can do the bottom triangle.
It has a base of 4 units and a height of 1 unit.
So 4*1 = 4
4 / 2 = 2 units^2
Now for the top left triangle.
It has a base of 4 units and a height of 2 units.
So 4*2 = 8
8 / 2 = 4 units^2
Now all we have is the middle part.
Its a triangle with a base of 4 units and a height of 2 units.
So 4*2 = 8
8 / 2 = 4 units^2
6 + 2 + 4 + 4 = 16 units^2
Thus,
after adding everything up the total area of the polygon is 16 units^2.
Hope this helps :)